Question

find the value of x for which 2^x ÷ 2^-4=4^5



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Answer 1

Answer:

Hey Mate!!

${2}^{x} \div {2}^{( - 4)} = {4}^{5} \\ \implies \: {2}^{x - ( - 4)} = {(2 ^{2}) }^{5} \\ \implies \: {2}^{x + 4} = {2^{(2 \times 5)}} \\ \implies \: {2}^{x + 4} = 2 ^{10}$

When bases are same, powers are equal,

x + 4 = 10

--> x = 10 - 4

--> x = 6